Manuel is biking at a constant rate.
The graph shows the ratio time : distance.
How long did it take Manuel to bike 4
miles?

30 minutes

Step-by-step explanation:

Since it took him 15 minutes to bike 2 miles, we can say that he biked 1 mile in 7.5 minutes.

Since we want to know how long it took him to bike 4, let's multiply 7.5 by 4

7.5*4=30

So it took him 30 minutes to go 4 miles

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

college